Question

which expression would make the following equation not true for all values of x. -2(x+4)-2= -2x -2(x+4)-2 -2x-8-2 -2x-10

Explanation:

Step1: Simplify the given equation

Start with the equation $-2(x + 4) - 2$. Distribute the $-2$:
$-2x - 8 - 2$

Step2: Combine like terms

Combine the constant terms $-8$ and $-2$:
$-2x - 10$

Step3: Identify equivalent expressions

The simplified form is $-2x - 10$, which is also equal to $-2(x + 4) - 2$ (original) and $-2x - 8 - 2$ (distributed before combining constants). The expression $-2x$ is missing the constant term, so it is not equivalent.

Answer:

-2(x+4)-2, -2x-10, -2x-8-2